Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504l |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61012952064 = 210 · 32 · 312 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20584,1129796] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:594:1] |
Generators of the group modulo torsion |
j |
941963714419108/59582961 |
j-invariant |
L |
8.9473359960045 |
L(r)(E,1)/r! |
Ω |
1.051522231501 |
Real period |
R |
4.2544683011466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913498 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61752l2 |
Quadratic twists by: -4 |